Perturbative analysis of the Neuberger–Dirac operator in the Schrödinger functional

We investigate the spectrum of the free Neuberger–Dirac operator D N on the Schrödinger functional (SF). We check that the lowest few eigen-values of the Hermitian operator D N † D N in unit of L −2 converge to the continuum limit properly. We also perform a one-loop calculation of the SF coupling,...

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Bibliographic Details
Published inNuclear physics. B Vol. 796; no. 1; pp. 402 - 421
Main Author Takeda, Shinji
Format Journal Article
LanguageEnglish
Published Elsevier B.V 11.06.2008
Subjects
Chiral fermion
Lattice QCD
Non-perturbative renormalization
Quark condensate
Schrödinger functional
12.38.Gc
Schrödinger functional
Chiral fermion
Lattice QCD
11.30.Rd
Quark condensate
Non-perturbative renormalization
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Summary:We investigate the spectrum of the free Neuberger–Dirac operator D N on the Schrödinger functional (SF). We check that the lowest few eigen-values of the Hermitian operator D N † D N in unit of L −2 converge to the continuum limit properly. We also perform a one-loop calculation of the SF coupling, and then check the universality and investigate lattice artifacts of the step scaling function. It turns out that the lattice artifacts for the Neuberger–Dirac operator are comparable to those of the clover action.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2007.12.020